Use the image to answer the question.

Question

An illustration shows four rays with points near the arrows labeled A, B, C, and D in a clockwise direction emerging from a common point labeled O. The angle A O B is marked as 40 degrees and angle C O D is marked as 50 degrees.

Are the two indicated angles adjacent? Why or why not?

(1 point)

Answer 1

Yes, the two indicated angles AOB and COD are adjacent angles.

Adjacent angles are defined as angles that have a common vertex and a common side, but do not overlap. In this illustration, both angles share the common vertex O and the ray OB (the side of angle AOB) and ray OC (the side of angle COD) are next to each other at point O. Therefore, angles AOB and COD meet the criteria for adjacent angles.